Question 1. Suppose we toss 3 different 6-sided dice: a green die, a red die, and a blue die. (a) What is the probability that the outcome of the green die is even? (b) What is the probability that the sum of the outcomes of the green and red dice equals the outcome on the blue die? (c) What is the probability that the sum of the outcomes in any two dice equals the outcome on the third die? Question 2. A medical test for a rare disease is advertised to be 99% accurate. For this problem this means that 99% of individuals who have the disease will test positive, and that 99% of individuals who do not have the disease will test negative. Assume that, on average, this disease only occurs in 1 out of every 50,000 people. Suppose that a huge number of people take the test, and 10,000 of these people test positive for the disease. On average, how many of the individuals who tested positive will NOT have the disease